#### Topic Content:

- Word Problems Leading to Simultaneous Equations

To solve word problems you need to write two separate equations using the information provided. Then solve the equations simultaneously using one of the algebraic methods.

### Example 3.2.1:

The sum of two numbers is 30 and their difference is 15. Find the two numbers.

**Solution **

**Let the numbers be x and y **

The sum of two numbers is 30 ⇒ x + y = 30

Their difference is 15 ⇒ x – y = 15

x + y = 30 ………….**(1)**

x – y = 15 ………….**(2)**

**Add equation (1) to (2)**

x | + | y | = | 30 | |

+ | x | – | y | = | 15 |

2x | 0 | = | 45 |

You are viewing an excerpt of this Topic. Subscribe Now to get **Full Access** to **ALL** this Subject's Topics and Quizzes for this Term!

Click on the button **"Subscribe Now"** below for Full Access!

### Subscribe Now

**Note:** If you have **Already Subscribed** and you are seeing this message, it means you are logged out. Please **Log In** using the **Login Button Below** to **Carry on Studying!
**

## Responses